The Limits of Mathematics by Gregory J. Chaitin

Large book cover: The Limits of Mathematics

The Limits of Mathematics

Publisher: Springer
ISBN/ASIN: 1852336684
ISBN-13: 9781852336684
Number of pages: 270

This book is the final version of a course on algorithmic information theory and the epistemology of mathematics and physics. It discusses Einstein and Goedel's views on the nature of mathematics in the light of information theory, and sustains the thesis that mathematics is quasi-empirical.

Home page url

Download or read it online for free here:
Download link
(600KB, PDF)

Similar books

Book cover: Logic and InformationLogic and Information
An introductory, comparative account of three mathematical approaches to information: the classical quantitative theory of Claude Shannon, a qualitative theory developed by Fred Dretske, and a qualitative theory introduced by Barwise and Perry.
Book cover: Entropy and Information TheoryEntropy and Information Theory
by - Springer
The book covers the theory of probabilistic information measures and application to coding theorems for information sources and noisy channels. This is an up-to-date treatment of traditional information theory emphasizing ergodic theory.
Book cover: Lecture Notes on Network Information TheoryLecture Notes on Network Information Theory
by - arXiv
Network information theory deals with the fundamental limits on information flow in networks and optimal coding and protocols. These notes provide a broad coverage of key results, techniques, and open problems in network information theory.
Book cover: A primer on information theory, with applications to neuroscienceA primer on information theory, with applications to neuroscience
by - arXiv
This chapter is supposed to give a short introduction to the fundamentals of information theory, especially suited for people having a less firm background in mathematics and probability theory. The focus will be on neuroscientific topics.